Design and Analysis of Combining Oil-Cooling Scheme of S-Shaped and End-Spraying Passages for Permanent Magnet Synchronous Motor
Abstract
1. Introduction
2. Design and Parameter Optimization of S-Shaped Axial Returning Passage
2.1. Design of the S-Shaped Axial Returning Passage
2.2. Geometric Parameter Optimization of the S-Shaped Passage
2.3. Comparison Analysis of Pressure Loss and Heat Transfer Coefficient
3. Combining Oil-Cooling Scheme of S-Shaped and End-Spraying Passages
3.1. Introduction of Combining Oil-Cooling Scheme
3.2. Nozzle Arrangements on the Oil-Spraying Ring
4. Structural Design and Temperature Distribution
4.1. Structure Design of PMSM with Combining Cooling System
4.2. Finite-Element Modeling and Simulation Setup
- (1).
- Heat transfer function
- (2).
- Fluid control equation
- (3).
- Establishment of simulation model
- (a).
- The winding and iron core were treated as a single equivalent body with uniform heat generation and anisotropic thermal conductivity.
- (b).
- The cooling oil was supplied to the motor uniformly at a constant temperature and velocity.
- (c).
- Thermal radiation was neglected during the temperature-rise simulation.
- (d).
- Structural features such as ribs, filets, and grooves that have negligible influence on motor temperature rise were removed.
- (e).
- The heat transfer coefficient and thermal conductivity of all components were assumed to be constant.
- (4).
- Simulation Parameter Setting
- (a)
- In the CFD model, the cooling oil was used as the working fluid, and a velocity inlet was specified according to the prescribed flow rates of 8 L/min, 12 L/min, and 16 L/min, with the inlet temperature maintained at 65 °C. The outlet was defined as a pressure boundary at standard atmospheric pressure. All fluid–solid interfaces, including the housing–oil and stator–oil contact surfaces, were modeled as conjugate heat transfer interfaces to allow heat exchange across domains, while the remaining walls were treated as adiabatic. A 0.3 mm insulation layer was assigned to the winding–stator interface to account for the thermal resistance of the actual structure.
- (b)
- Although the flow path includes S-shaped bends and narrow passages, the Reynolds number calculated based on the oil properties and hydraulic diameter indicates laminar flow; therefore, a laminar flow model was employed. The machined channel surfaces were assumed to be hydraulically smooth, consistent with conventional industrial practice.
- (c)
- A high-quality unstructured mesh was generated for the oil domain, and geometric features with negligible thermal influence were removed to improve mesh quality. Node sharing was enforced across all fluid–solid interfaces to ensure accurate heat transfer. The final mesh contained approximately 3.09 million nodes and 12.02 million elements, with an average skewness of 0.218. Mesh sensitivity was examined by progressively refining the mesh, and the results were considered mesh-independent when the variations in pressure drop and winding temperature were below 2%.
4.3. Temperature Distribution
4.3.1. Effect of Flow Rate of Cooling Oil
4.3.2. Effect of Motor Rotational Speed
5. Experimental Analysis
5.1. Experimental Design
5.2. Experimental Results
6. Conclusions
- a.
- The pressure loss of the S-shaped axial returning passage is only half of that of the right-angle axial returning passage and 33% lower than that of the round-corner axial returning passage, while the wall heat-transfer coefficients of all the three passage types are comparable.
- b.
- The optimal configuration of the S-shaped passage includes 16 returns with a width of 18 mm. For the end-spraying passage, a 240° nozzle arrangement is preferred due to its minimal pressure loss.
- c.
- The proposed combined oil-cooling scheme efficiently cools both the stator core and end winding and significantly improves the uniformity of motor temperature. At a cooling oil flow rate of 12 L/min, the maximum temperature of the end winding is 92.6 °C, only 1.5 °C higher than the maximum temperature of the stator core under rated operating conditions. The simulated end-winding temperature shows close agreement with the experimental measurements, with a maximum deviation of only 3.8 °C.
- d.
- Although experimentally validated on a 60 kW prototype, the findings possess wider applicability. The underlying mechanism of the S-shaped passage is rooted in fundamental fluid dynamics, rendering it effective for various casing-cooled motors irrespective of their specific dimensions. Additionally, the hybrid cooling strategy tackles the universal thermal bottleneck of end windings of end windings in high-power-density motors. Therefore, the proposed cooling structure and optimization methodology provide a scalable reference for thermal management of other PMSMs under diverse operating conditions.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Parameter | Value | Parameter | Value |
|---|---|---|---|
| rated DC voltage (V) | 380 | number of stator slots | 48 |
| rated power (kW) | 60 | number of pole pairs | 6 |
| peak power(kW) | 120 | external diameter of stator (mm) | 220 |
| rated rotational speed (r/min) | 3820 | rotor geometry (mm) | 143.2×78 |
| peak rotational speed (r/min) | 12,000 | air-gap length (mm) | 0.8 |
| insulation class | H | rotor core material | Silicon steel |
| returning number of passages | 16 | magnet material (k) | NdFeB (k = 9 W/m·K) |
| nozzle arrangement (°) | 240 | passage shape | S-shape |
| length of stator (mm) | 90 | cross-sectional width of passage (mm) | 18 |
| Rotational Speed | 3000 r/min | 3820 r/min | 5000 r/min | 3000 r/min | 3820 r/min | 5000 r/min | |
| Heat Loss Rate | Loss (W) | Heat Volume Power (W/m3) | |||||
| Name of part | end winds | 3836.2 | 2157.8 | 1498.5 | 2,757,116 | 1,550,832 | 1,070,159 |
| stator | 413.2 | 449 | 582.7 | 252,594 | 274,479 | 356,212 | |
| rotor | 50.8 | 46.2 | 56.7 | 4755 | 4324 | 5307 | |
| Material | Thermal Conductivity (W/(m·K)) | Density (kg/m3) | Specific Heat Capacity (J/(kg·K)) |
|---|---|---|---|
| aluminum | 151 | 2700 | 963 |
| silicon steel | axial: 4.43 | 7650 | 460 |
| radial: 39 | |||
| copper | axial: 387 | 8520 | 385 |
| radial: 39 | |||
| insulating paper | 0.18 | - | - |
| oil | 0.22 | 870 | 1985 |
| permanent magnet | 9 | 7800 | 420 |
| Rotational Speed (r/min) | Power/kW | Oil Temperature/°C | Oil Flow Rate/L/min | Annotation |
|---|---|---|---|---|
| 3820 | 60 | 65 | 8 | Comparison of oil flow |
| 3820 | 60 | 65 | 12 | |
| 3820 | 60 | 65 | 16 | |
| 3000 | 60 | 65 | 12 | Comparison of Rotational speed |
| 3820 | 60 | 65 | 12 | |
| 5000 | 60 | 65 | 12 |
| Cooling Oil Flow (L/min) | Sim Temp (°C) | Exp Temp (°C) | Deviation (%) |
|---|---|---|---|
| 8 | 97.3 | 101.1 | 3.76 |
| 12 | 92.6 | 93.4 | 0.86 |
| 16 | 90.8 | 90.9 | 0.11 |
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Feng, X.; Wan, Z.; Duan, J.; Wang, X.; Xie, P.; Xi, R. Design and Analysis of Combining Oil-Cooling Scheme of S-Shaped and End-Spraying Passages for Permanent Magnet Synchronous Motor. Energies 2026, 19, 72. https://doi.org/10.3390/en19010072
Feng X, Wan Z, Duan J, Wang X, Xie P, Xi R. Design and Analysis of Combining Oil-Cooling Scheme of S-Shaped and End-Spraying Passages for Permanent Magnet Synchronous Motor. Energies. 2026; 19(1):72. https://doi.org/10.3390/en19010072
Chicago/Turabian StyleFeng, Xiaoming, Zhenping Wan, Jiachao Duan, Xiaowu Wang, Peili Xie, and Rongsheng Xi. 2026. "Design and Analysis of Combining Oil-Cooling Scheme of S-Shaped and End-Spraying Passages for Permanent Magnet Synchronous Motor" Energies 19, no. 1: 72. https://doi.org/10.3390/en19010072
APA StyleFeng, X., Wan, Z., Duan, J., Wang, X., Xie, P., & Xi, R. (2026). Design and Analysis of Combining Oil-Cooling Scheme of S-Shaped and End-Spraying Passages for Permanent Magnet Synchronous Motor. Energies, 19(1), 72. https://doi.org/10.3390/en19010072

